What is the primary purpose of an AVL tree?

Practice Questions

Q1
What is the primary purpose of an AVL tree?
  1. To store data in a sorted manner
  2. To maintain balance for efficient searching
  3. To allow duplicate values
  4. To implement a stack

Questions & Step-by-Step Solutions

What is the primary purpose of an AVL tree?
  • Step 1: Understand what a binary search tree (BST) is. A BST is a tree structure where each node has a value, and the left child has a smaller value while the right child has a larger value.
  • Step 2: Learn about tree height. The height of a tree is the number of edges on the longest path from the root to a leaf.
  • Step 3: Know what balancing means. In a tree, balancing means keeping the heights of the left and right subtrees similar so that the tree does not become too lopsided.
  • Step 4: Discover what an AVL tree is. An AVL tree is a type of binary search tree that automatically keeps itself balanced.
  • Step 5: Understand the balance condition. In an AVL tree, the difference in height between the left and right subtrees of any node must be no more than one.
  • Step 6: Recognize the primary purpose. The main goal of an AVL tree is to ensure that the tree remains balanced, which allows for efficient searching, inserting, and deleting of nodes.
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